A word about your goals--
At least out here in LaLaLand, California, electricians and audio/video installers are very very different animals.

For instance, most electricians will not know why they cannot run cable or video feeds from the source location to point A, from A to B, from B to C, from C to D, etc. They will usually make separate home runs if told, but not always unless watched.

I would say that A/V installers generally are fuzzy on 120 volt electrical theory and operation. They are either wire monkeys, who know how buildings are constructed and know how to get wires from any point to any other point, or are hobbyists who have learned how to connect and use the equipment, then have expanded to know how to install this stuff in homes. Most installers are some of both.

Also, out here, you can do low-voltage wiring with a general electrician's license. There are a lot of different low-voltage wiring techniques and needs that are unnecessary for audio/video work. It seems to me easier to pass the general electrician's license exam than the low-voltage specialist's exam, so doing audio/video under an electrician's license seems to me to be the way to go.

Food for thought, I hope.

Ernie